ITVOLT: An Iterative Solver for the Time-Dependent Schrödinger Equation
arXiv:2210.15677 · doi:10.1016/j.cpc.2023.108780
Abstract
We present a novel approach for solving the time-dependent Schrödinger equation (TDSE). The method we propose converts the TDSE to an equivalent Volterra integral equation; introducing a global Lagrange interpolation of the integrand transforms the equation to a linear system, which is then solved iteratively. In this paper, we derive the method, explore its performance on several examples, and discuss the corresponding numerical details.
The updated version focuses exclusively on the time-dependent Schrödinger equation and includes both a new variant of the method and a more rigorous performance analysis. Contents: 20 pages, 5 figures, 2 tables